Question

7 yrs ago varun age was 5 times the sq of swati age. 3 yrs hence, swati will be 2/5 of varun's age. Find theirpresent age.

Answer 1

Answer:

Varun's present age is 17 and Swati's present age is 5.

Step-by-step explanation:

Present,

Let Varun's age be x

Let Swati's age be y

7 years ago,

Varun's age = x - 7

Swati's age = y - 7

A/Q

(x - 7) = 5(y - 7)

x - 7 = 5y - 35

x- 5y = 42 ------- eq 1

3 years hence,

Varun's age = x + 3

Swati's age = y + 3

A/Q

(y + 3) = 2/5(x + 3)

5(y + 3) = 2(x + 3)

5y + 15 = 2x + 6

2x + 5y = 9 ---------- eq 2

By elimination method

x    -    5y = 42

2x  +   5y = 9

Cancelling +5y and -5y

3x = 51

x = 51/3

x = 17

Putting value of x in eq 1

17 - 5y = 42

5y = 42 - 17

5y = 25

y = 25/5

y = 5